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Finding the Fourth Proportional to 451.50, 622.86 and 264.93

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Solution

The fourth proportional to 451.50, 622.86 and 264.93 is: 365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.50 : 622.86 = 264.93 : x
  2. Step 2: Convert to fraction form
    451.50/622.86 = 264.93/x
  3. Step 3: Cross multiply
    451.50x = 622.86 × 264.93
  4. Step 4: Simplify right side
    451.50x = 165,010.97
  5. Step 5: Solve for x
    x = 165,010.97/451.50
  6. Step 6: Final answer
    x = 365.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.